As shown in the figure, point D is a point on the diameter CA extension line of ⊙ o, point B is on ⊙ o, and ab = ad = Ao. (1) prove that BD is the tangent of ⊙ o; (2) if point E is a point on inferior arc BC, AE and BC intersect at point F, and the area of △ bef is 8, cos ∠ BFA = 23, calculate the area of △ ACF

As shown in the figure, point D is a point on the diameter CA extension line of ⊙ o, point B is on ⊙ o, and ab = ad = Ao. (1) prove that BD is the tangent of ⊙ o; (2) if point E is a point on inferior arc BC, AE and BC intersect at point F, and the area of △ bef is 8, cos ∠ BFA = 23, calculate the area of △ ACF

The following: (1) connecting Bo, connecting Bo, \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\∠ BFA = bfaf = 23  s △ BEFs Δ ACF = (bfaf) 2 = 49 and ∵ s △ bef = 8 ∵ s △ ACF = 18